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**Flip-flop Array Task**

Complete the function `FlipFlopArray` that takes a 4x4 array \( A \) and performs the following steps:

**Step 1:**
Create the array `flipFlop` by flipping array \( A \) left to right, then upside down.

**Step 2:**
Create the array `lowerTriangle` by storing only the lower triangular part of the array `flipFlop`.

**Example:**
Given \( A = \begin{bmatrix} 83 & 91 & 80 & 90 \\ 72 & 92 & 87 & 66 \\ 70 & 65 & 99 & 98 \\ 95 & 91 & 93 & 99 \end{bmatrix} \)

Then `flipFlop` becomes:
\[ \begin{bmatrix} 99 & 93 & 98 & 99 \\ 66 & 87 & 90 & 80 \\ 91 & 65 & 92 & 91 \\ 95 & 70 & 72 & 83 \end{bmatrix} \]

And the lower triangular part of the array is `lowerTriangle`:
\[ \begin{bmatrix} 99 & 0 & 0 & 0 \\ 98 & 99 & 0 & 0 \\ 66 & 87 & 92 & 0 \\ 90 & 80 & 91 & 83 \end{bmatrix} \]

**Note:**
The internal functions `flipro`, `flipudo`, and `tril()` should be used.

Answer :

Final answer:

The manipulation of a 4x4 array via the use of programming. The first step involves the creation of a 'flipFlop' array by flipping it left to right and then upside-down. The second step includes the formation of a 'lowerTriangle' array from the 'flipFlop' array that only stores the lower triangular part of the matrix.

Explanation:

The problem is about dealing with a 4x4 array in programming. Given the array 'A', the task is to manipulate the array in two steps. The steps include creating a flip-flop array and a lower triangle array. These processes will use certain internal functions like flipro(), flipudo(), and tril().

In Step 1, you need to create an array 'flipFlop' by flipping array 'A' left to right, then upside down. Thus, the columns are reversed (which is the left-to-right flip) and then rows are reversed (which is the upside-down flip).

In Step 2, the 'lowerTriangle' array is created where only the lower triangular part of the 'flipFlop' array is stored. The lower triangular part of a matrix includes the main diagonal and all elements below it. All other elements are set to zero.

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Final answer:

The function FlipFlopArray utilizes numpy functions fliplr(), flipud() and tril() to flip a 4x4 array left to right, upside down and then to isolate the lower triangular part of the resultant array.

Explanation:

This question is about a function that manipulates a 4x4 array in two different ways. First, the function FlipFlopArray flips the array both horizontally (left to right) and vertically (upside down).

This can be accomplished in the programming language Python by making use of the numpy function flip() two times, once for each axis on which to flip. You should first flip the array around the y-axis (fliplr()), and then around the x-axis (flipud()).

Second, the function isolates and stores the lower triangular part of the resultant flip flop array. This can be done with the numpy function tril(), which sets all elements above the main diagonal to zero in a copy of the array and returns it. The lower triangular part of the original array is then stored in a new array called lowerTriangle.

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